Primes which are not the sums of two consecutive non-Fibonacci numbers.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =11a(5) =17a(6) =41a(7) =43a(8) =67a(9) =109a(10) =179a(11) =467a(12) =1973a(13) =5167a(14) =8363a(15) =21893a(16) =35423a(17) =92737a(18) =392837a(19) =2692537a(20) =11405773a(21) =48315633a(22) =126491971a(23) =204668311a(24) =331160281a(25) =535828591a(26) =1402817467a(27) =40730022149a(28) =279167724889